This is a parabola which opens upwards and the directrix will be of the form
y = k
the general form is
4p(y - k) = (x - h)^2 we have:-
1/4(y + 3) = (x - 2)^2
so the vertex is at (2, -3)
4p = 1/4 so p = 1/16
so the focus will be at (2 , -2 15/16)
and directrix is y = -3 1/16
Solution:
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<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Thus the required <u>answers</u> are:
i. Yes, line <em>segment</em> AB is <em>the same</em> as line <u>segment </u>CD.
ii. This implies that <u>translation</u> does not affect the<u> length </u>of a given<u> line,</u> but there is a change in its <em>location</em>.
<em>Solid transformation</em> is a <u>method</u> that requires a change in the <u>length </u>of sides of a given shape or a change in its <em>orientation</em>. Some types of <em>transformation</em> are reflection, translation, dilation, and rotation.
- <u>Dilation</u> is a method that requires either <u>increasing</u> or <u>decreasing</u> the <em>size</em> of a given <u>shape</u>.
- <u>Translation</u> is a process that involves moving <em>every point </em>on the <u>shape</u> in the same <u>direction</u>, and the same <u>unit</u>.
- <u>Reflection</u> is a method that requires <em>flipping</em> a given <u>shape</u> over a given reference<u> point</u> or<u> line.</u>
- <em>Rotation</em> requires <u>turning</u> a given <em>shape</em> at an <u>angle</u> about a given reference <u>point</u>.
Thus in the given question, <u>translation</u> would not affect the <u>length</u> of <em>line</em> <em>segment</em> AB, thus <em>line segment</em> AB and CD are the same. Also, A <u>translated</u> <em>line segment</em> would have the same <u>length</u> as its object, but at another <u>location</u>.
For more clarifications on translation of a plane shape, visit: brainly.com/question/21185707
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Answer:
His dog weighs 30.44lbs more than his cat.
Step-by-step explanation:
The question asks how much more his dog weighs, so we use subtraction to find the answer.
Answer:
B: 6 to the 10th over 7 to the 6th
Step-by-step explanation:
(6^5 / 7^3)^2
We know that (a /b) ^c = a^c / b^c
(6^5)^2 / (7^3)^2
We know that a power to a power is the powers multiplied a^b^c = a^(b*c)
6^ (5*2)/ (7^(3*2))
6^10/(7^6)
Since the bases are not the same, there is nothing else we can do